To find a quintic regression on a TI-83 calculator, first, enter your data into two lists (L1 for x-values and L2 for y-values). Then, press the STAT
button, select CALC
, and scroll down to choose 5:PolyReg
. Enter the degree as 5
for a quintic regression, followed by the lists (e.g., L1, L2
). Finally, press ENTER
to compute the regression equation, which will be displayed along with the coefficients.
Some TI83's can be set up differently, so it is highly recommendable to read the user guide for the TI83 in question. The user would need to go into the VarStat option and enter all the appropriate fields to have the calculator bring in the appropriate variables and totals.
To find the mean of a data set using a TI-83 calculator, first enter the data into a list. Press the STAT button, select 1:Edit, and input your values into L1. After entering the data, press STAT again, arrow over to CALC, and select 1:1-Var Stats. The calculator will display various statistics, including the mean, which is labeled as ( \bar{x} ).
To find the least squares regression line on a TI-84 calculator, first enter your data into lists. Press the STAT button, select 1: Edit, and input your x-values in one list (e.g., L1) and y-values in another (e.g., L2). After entering the data, press STAT, navigate to CALC, and select 4: LinReg(ax+b) or LinReg for short, then press ENTER. The calculator will display the linear regression equation and values for a (slope) and b (y-intercept).
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correlation we can do to find the strength of the variables. but regression helps to fit the best line
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No, there is no general solution in radicals for all quintic equations and higher-degree polynomials, as proven by the Abel-Ruffini theorem. While some specific quintic equations can be solved algebraically, most cannot be expressed using a finite number of additions, multiplications, and root extractions. Instead, numerical methods or special functions are often used to find solutions for these higher-degree equations.
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